Holonomy loops, spectral triples and quantum gravity
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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Holonomy loops, spectral triples and quantum gravity. / Johannes , Aastrup; Grimstrup, Jesper Møller; Nest, Ryszard.
I: Classical and Quantum Gravity, 27.07.2009, s. 165001.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Holonomy loops, spectral triples and quantum gravity
AU - Johannes , Aastrup
AU - Grimstrup, Jesper Møller
AU - Nest, Ryszard
N1 - Based on talks given by Jesper Møller Grimstrup at the QG2 Conference, Nottingham, July 2008; at the QSTNG Conference in Rome in Sept/Oct 2008; at the AONCG Conference, Canberra, Dec 2008.
PY - 2009/7/27
Y1 - 2009/7/27
N2 - We review the motivation, construction and physical interpretation of a semi-finite spectral triple obtained through a rearrangement of central elements of loop quantum gravity. The triple is based on a countable set of oriented graphs and the algebra consists of generalized holonomy loops in this set. The Dirac-type operator resembles a global functional derivation operator and the interaction between the algebra of holonomy loops and the Dirac-type operator reproduces the structure of a quantized Poisson bracket of general relativity. Finally, we give a heuristic argument as to how a natural candidate for a quantized Hamiltonian might emerge from this spectral triple construction
AB - We review the motivation, construction and physical interpretation of a semi-finite spectral triple obtained through a rearrangement of central elements of loop quantum gravity. The triple is based on a countable set of oriented graphs and the algebra consists of generalized holonomy loops in this set. The Dirac-type operator resembles a global functional derivation operator and the interaction between the algebra of holonomy loops and the Dirac-type operator reproduces the structure of a quantized Poisson bracket of general relativity. Finally, we give a heuristic argument as to how a natural candidate for a quantized Hamiltonian might emerge from this spectral triple construction
U2 - 10.1088/0264-9381/26/16/165001
DO - 10.1088/0264-9381/26/16/165001
M3 - Journal article
SP - 165001
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
ER -
ID: 35368296